Entropic analysis of a hierarchically organized Axelrod model

Abstract

Hierarchically organized patterns are ubiquitously found in complex systems. However, this point is frequently misrepresented in many Sociophysics models, mainly because random initial conditions are by far the most assumed in the literature. In this article, we studied a simple and quasi-aparametric Axelrod model of culture dynamics assuming structured (hierarchically organized) initial conditions. As a first remarkable point, the maximum final culture branching is observed to correspond to a highest uncontrollability regime of an entropy based framework described before. Also, this model shows a quantization of culture patterns that can be explained with the aid of that formalism.